Abstract
This paper considers the design of minimal-order observers for reconstructing the state of high-order multivariable systems. The given system is first transformed to a lower block Hessenberg form by means of orthogonal state coordinate transformations. Then the transformed system matrices along with certain assumed block forms for the observer matrices enable the constraint equations to be decomposed and solved effectively. It is shown that a parallel procedure can be used to solve certain chain equations arising from this block decomposition.
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